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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 694 · 40 sums
TalentJR

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.What is (−7/9) + (−1/8)? (a) −65/72 (b) −47/72 (c) 65/72 (d) −8/17
  2. 2.Is −6/(−8) positive or negative? (a) Positive (b) Negative
  3. 3.What is 2/5 − (−5/8)? (a) 7/13 (b) 41/40 (c) −9/40 (d) −41/40
  4. 4.Which is bigger: −7/9 or −7/8? (a) −7/8 (b) −7/9
  5. 5.What is (−3/4) − 5/9? (a) −8/13 (b) 47/36 (c) −47/36 (d) −7/36
  6. 6.Write −9/21 in standard form (lowest terms, positive denominator). (a) −9/21 (b) 3/7 (c) −7/3 (d) −3/7
  7. 7.Is 1/5 positive or negative? (a) Negative (b) Positive
  8. 8.What is (−5/7) − 5/8? (a) 75/56 (b) −5/56 (c) −75/56 (d) −2/3
  9. 9.What is the reciprocal (multiplicative inverse) of 5/8? (a) −5/8 (b) −8/5 (c) 8/5 (d) 5/8
  10. 10.Write −14/18 in standard form (lowest terms, positive denominator). (a) −7/9 (b) 7/9 (c) −14/18 (d) −9/7
  11. 11.What is (−5/7) − 3/4? (a) 41/28 (b) 1/28 (c) −8/11 (d) −41/28
  12. 12.Is −3/(−5) positive or negative? (a) Positive (b) Negative
  13. 13.What is (−4/7) + 4/5? (a) −8/35 (b) 0 (c) 8/35 (d) −48/35
  14. 14.What is the additive inverse of 1/2? (a) −2 (b) 2 (c) 1/2 (d) −1/2
  15. 15.What is 4/9 + (−3/4)? (a) 43/36 (b) 1/13 (c) 11/36 (d) −11/36
  16. 16.Which is bigger: −1/2 or 8/9? (a) −1/2 (b) 8/9
  17. 17.What is (−3/7) + 3/5? (a) −36/35 (b) 0 (c) 6/35 (d) −6/35
  18. 18.What is (−3/7) − 8/9? (a) −11/16 (b) 29/63 (c) −83/63 (d) 83/63
  19. 19.Is 3/(−3) positive or negative? (a) Negative (b) Positive
  20. 20.Is 1/(−7) positive or negative? (a) Negative (b) Positive
  21. 21.What is (−2/5) + 5/8? (a) 9/40 (b) 3/13 (c) −9/40 (d) −41/40
  22. 22.What is (−7/8) − 1/2? (a) −3/8 (b) 11/8 (c) −11/8 (d) −4/5
  23. 23.Write 30/(−54) in standard form (lowest terms, positive denominator). (a) −30/54 (b) 5/9 (c) −5/9 (d) −9/5
  24. 24.Is −2/7 positive or negative? (a) Positive (b) Negative
  25. 25.Which is bigger: −1/7 or −6/7? (a) −1/7 (b) −6/7
  26. 26.Which is bigger: −1/5 or 3/5? (a) 3/5 (b) −1/5
  27. 27.Which is smaller: −5/7 or −5/8? (a) −5/8 (b) −5/7
  28. 28.Write 8/(−14) in standard form (lowest terms, positive denominator). (a) −4/7 (b) −7/4 (c) −8/14 (d) 4/7
  29. 29.What is (−3/4) + 1/3? (a) 5/12 (b) −13/12 (c) −2/7 (d) −5/12
  30. 30.What is (−1/7) + (−3/8)? (a) 13/56 (b) 29/56 (c) −4/15 (d) −29/56
  31. 31.Write 30/(−42) in standard form (lowest terms, positive denominator). (a) −30/42 (b) 5/7 (c) −5/7 (d) −7/5
  32. 32.What is (−3/7) − 2/9? (a) −13/63 (b) 41/63 (c) −5/16 (d) −41/63
  33. 33.What is (−3/5) + 2/3? (a) −1/15 (b) −19/15 (c) −1/8 (d) 1/15
  34. 34.What is (−5/8) − (−3/7)? (a) 11/56 (b) −59/56 (c) −2/15 (d) −11/56
  35. 35.Which is smaller: −3/8 or −5/9? (a) −3/8 (b) −5/9
  36. 36.Is 6/(−5) positive or negative? (a) Negative (b) Positive
  37. 37.Which is smaller: −2/7 or 3/8? (a) −2/7 (b) 3/8
  38. 38.What is (−1/5) − 7/8? (a) 43/40 (b) −43/40 (c) 27/40 (d) −8/13
  39. 39.Write −4/28 in standard form (lowest terms, positive denominator). (a) −4/28 (b) 1/7 (c) −1/7 (d) −7/1
  40. 40.What is (−1/3) + 1/2? (a) 0 (b) −5/6 (c) 1/6 (d) −1/6

Answer key

  1. −65/72
  2. Positive
  3. 41/40
  4. −7/9
  5. −47/36
  6. −3/7
  7. Positive
  8. −75/56
  9. 8/5
  10. −7/9
  11. −41/28
  12. Positive
  13. 8/35
  14. −1/2
  15. −11/36
  16. 8/9
  17. 6/35
  18. −83/63
  19. Negative
  20. Negative
  21. 9/40
  22. −11/8
  23. −5/9
  24. Negative
  25. −1/7
  26. 3/5
  27. −5/7
  28. −4/7
  29. −5/12
  30. −29/56
  31. −5/7
  32. −41/63
  33. 1/15
  34. −11/56
  35. −5/9
  36. Negative
  37. −2/7
  38. −43/40
  39. −1/7
  40. 1/6

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